3305613984 has 24 divisors (see below), whose sum is σ = 8677236960. Its totient is φ = 1101871296.

The previous prime is 3305613937. The next prime is 3305614001. The reversal of 3305613984 is 4893165033.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×3305613984² = 21854167622432704512, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17216644 + ... + 17216835.

It is an arithmetic number, because the mean of its divisors is an integer number (361551540).

Almost surely, 2^3305613984 is an apocalyptic number.

It is an amenable number.

3305613984 is an abundant number, since it is smaller than the sum of its proper divisors (5371622976).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3305613984 is a wasteful number, since it uses less digits than its factorization.

3305613984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34433492 (or 34433484 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The square root of 3305613984 is about 57494.4691600853. The cubic root of 3305613984 is about 1489.6493302660.

The spelling of 3305613984 in words is "three billion, three hundred five million, six hundred thirteen thousand, nine hundred eighty-four".